Solve the Problem $$\text { Find the value of } \log _ { 3 } 4 \cdot \log _ { 4 } 5 \cdot \log _ { 5 } 6 \cdot \log _ { 6 } 7 \cdot \log _ { 7 } 8 \cdot \log _ { 8 } 9$$

question 172

Short Answer

Solve the problem.
- $$\text { Find the value of } \log _ { 3 } 4 \cdot \log _ { 4 } 5 \cdot \log _ { 5 } 6 \cdot \log _ { 6 } 7 \cdot \log _ { 7 } 8 \cdot \log _ { 8 } 9$$

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Definitions:

Indifference Curve

A curve representing all combinations of goods and services among which a consumer is indifferent, showing the same level of satisfaction or utility.

Budget Line

A graphical representation of all possible combinations of two goods or services that can be purchased with a given income and prices, identical to the concept of a budget constraint but rephrased.

Duality

Alternative way of looking at the consumer’s utility maximization decision: Rather than choosing the highest indifference curve, given a budget constraint, the consumer chooses the lowest budget line that touches a given indifference curve.

Marginal Utilities

Refers to the additional satisfaction or utility that a consumer receives from consuming one more unit of a good or service.